Question

Find the area of a quadrilateral whose one diagonal is 15 cm and lengths of perpendiculars
from opposite vertices to this diagonal are 3 cm and 5 cm​

Answer 1

Answer:

The area of the quadrilateral is 30 cm².

Step-by-step explanation:

Solution :

Diagonal = 15 cm

Perpendiculars = 3 cm and 5 cm

Area of any shape is the total amount of space occupied by it.

★ Area of quadrilateral =

= 1/2 × (Sum of perpendiculars) × Diagonal

= 1/2 × (3 + 5) × 15

= 1/2 × 4 × 15

= 2 × 15

= 30

Area = 30 cm²

Therefore, the area of the quadrilateral is 30 cm².